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Finding the Fourth Proportional to 27,803.80, 41,704.44 and 8,081.92

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Solution

The fourth proportional to 27,803.80, 41,704.44 and 8,081.92 is: 12,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.80 : 41,704.44 = 8,081.92 : x
  2. Step 2: Convert to fraction form
    27,803.80/41,704.44 = 8,081.92/x
  3. Step 3: Cross multiply
    27,803.80x = 41,704.44 × 8,081.92
  4. Step 4: Simplify right side
    27,803.80x = 337,051,947.72
  5. Step 5: Solve for x
    x = 337,051,947.72/27,803.80
  6. Step 6: Final answer
    x = 12,122.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.